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  1. Full Lecture 1
  2. Full Lecture 10
  3. Full Lecture 11
  4. Full Lecture 12
  5. Full Lecture 13
  6. Full Lecture 14
  7. Full Lecture 15
  8. Full Lecture 16
  9. Full Lecture 17
  10. Full Lecture 18
  11. Full Lecture 2
  12. Full Lecture 3
  13. Full Lecture 4
  14. Full Lecture 5
  15. Full Lecture 6
  16. Full Lecture 7
  17. Full Lecture 8
  18. Full Lecture 9
  19. Graduate Level: Intro to Probability and Statistics
  20. Lecture 1. A) Sample Space
  21. Lecture 1. B) Probability Function
  22. Lecture 1. C) Domain of Probability Function
  23. Lecture 1. D) Probability Space
  24. Lecture 1. E) More on Probability Functions
  25. Lecture 1. F) Random Variables
  26. Lecture 10. A) Finding UMVU Estimators
  27. Lecture 10. B) Complete Statistic
  28. Lecture 10. C) Cramer-Rao Lower Bound
  29. Lecture 11. A) Hypothesis Testing
  30. Lecture 11. B) Testing Procedure
  31. Lecture 11. C) Variation on a Theme
  32. Lecture 11. D) Testing Errors
  33. Lecture 11. E) Power Function
  34. Lecture 11. F) Example 1
  35. Lecture 11. G) Setting the Critical Value
  36. Lecture 12. A) Statistical Tests
  37. Lecture 12. B) Likelihood-Ratio Test
  38. Lecture 12. C) Lagrange Multiplier Test
  39. Lecture 12. D) Wald Test
  40. Lecture 12. E) Example: LRT
  41. Lecture 12. F) Test Equivalence
  42. Lecture 12. G) Equivalence Between LRT and LM Tests
  43. Lecture 12. H) Equivalence Between LRT and Wald Tests
  44. Lecture 12. I) Optimal Tests
  45. Lecture 12. J) Neyman-Pearson Lemma
  46. Lecture 13. A) Test Optimality (cont.)
  47. Lecture 13. B) Example: Normal
  48. Lecture 13. C) Karlin-Rubin Theorem
  49. Lecture 13. D) 2-sided Tests and Unbiased Tests
  50. Lecture 13. E) p-value

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